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Finding the Third Proportional to 838,270 and 1,715,276

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Solution

The third proportional to 838,270 and 1,715,276 is: 3,509,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,270 : 1,715,276 = 1,715,276 : x
  2. Step 2: Convert to fraction form
    838,270/1,715,276 = 1,715,276/x
  3. Step 3: Cross multiply
    838,270x = 1,715,276 × 1,715,276
  4. Step 4: Simplify right side
    838,270x = 2,942,171,756,176
  5. Step 5: Solve for x
    x = 2,942,171,756,176/838,270
  6. Step 6: Final answer
    x = 3,509,813.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.